The moduli space of commutative algebras of finite rank

DOI10.4171/JEMS/131zbMath1151.14011arXivmath/0608491OpenAlexW3105726725MaRDI QIDQ936157

Bjorn Poonen

Publication date: 13 August 2008

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608491

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Algebraic moduli problems, moduli of vector bundles (14D20) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Finite commutative rings (13M99)

Related Items

Isomorphism Types of Artinian Gorenstein Local Algebras of Multiplicity at Most 9 ⋮ A structure theorem for \(2\)-stretched Gorenstein algebras ⋮ Classifying local Artinian Gorenstein algebras ⋮ On the Hilbert schemes of finite algebras over an algebraically closed field ⋮ The scheme of monogenic generators. I: Representability ⋮ The moduli space of \(G\)-algebras ⋮ The scheme of monogenic generators. II: Local monogenicity and twists ⋮ Galois closures and elementary components of Hilbert schemes of points ⋮ Modular compactifications of the space of marked trigonal curves ⋮ Nets of conics and associated Artinian algebras of length 7. Translation and update of the 1977 version by J. Emsalem and A. Iarrobino ⋮ Unnamed Item ⋮ On the Gorenstein locus of the punctual Hilbert scheme of degree 11 ⋮ On automorphisms of groups, rings, and algebras ⋮ On a notion of ``Galois closure for extensions of rings ⋮ Pathologies on the Hilbert scheme of points ⋮ Rings of small rank over a Dedekind domain and their ideals ⋮ Polynomial invariants and moduli of generic two-dimensional commutative algebras ⋮ On the Gorenstein locus of some punctual Hilbert schemes ⋮ From Hilbert's 13th problem to essential dimension and back

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dimension of the punctual Hilbert scheme
• Higher composition laws. III: The parametrization of quartic rings
• Fourier coefficients of modular forms on \(G_2\).
• Higher composition laws. II: On cubic analogues of Gauss composition
• Higher composition laws. I: A new view on Gauss composition, and quadratic generalizations
• The density of discriminants of quartic rings and fields
• Algebraic geography: Varieties of structure constants
• Enumerating p -Groups. I: Inequalities
• Algebraic Families on an Algebraic Surface

This page was built for publication: The moduli space of commutative algebras of finite rank